Statistics and Probability Answers

A group of the following students got the following score in a test:6,9,12,15,and18 compute the mean of the sample mean

H 0 : = 84

H a : 84

= 87, = 10, n = 35, = 0.05

The mean weight of the luggage carried into an airplane by individual passengers at Taguegarao City Airport is 19.8 kilograms. A statistician takes a random sample of 110 passengers and obtain a sample mean weight of 18.5 kilograms with standard deviation of 8.5 kilograms. Test the claim at a=0.01 level of significance.

If P(E1)=P(E2)=0.15, P(E3)=0.4, and P(E4)=2P(E5), calculate the P (E4) and P(E5).

In a survey of 200 students, 78 of the 120 females in the sample passed math 17 on their first take while this figure is 60 among the males. Will you agree that the proportion of males who passed math 17 on their first take is higher than the proportion of females who passed math 17 on their first take?test at a 0.05

A population consists of five numbers 1, 2, 3, 4, 5 and 6. Suppose samples of size 2 are drawn from this

population.

(a) Find the mean and variance of the population

(b) Describe the sampling distribution of the sample means.

(c) Find the mean and variance of the sampling distribution of the sample means.

What is the answer of "express the null hypothesis and alternative hypothesis in notation form of the scenario " it is believe that we that the mean yearly salary of professors in the philippines is 480,000.00 p pesos. a random sample of 65 professors revealed a mean salary of 500,000.00 pesos. can it be concluded the the mean salary is greater than 480,000.00 pesos? "

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 7 or 3? (Your answer must be in the form of a reduced fraction.)

A newly couple has planned to.have two children let B denotes that the first child is a boy and G denotes that the second child is a girl,BB denotes that first child is a boy and the second child is a boy and GB denotes that the first child is a girl and second child is a boy.Construct a tree diagram of this experience

A GROUP OF STUDENT GOT THE FOLLOWING SCORES IN A TEST 6, 9, 12, 15, 18, AND 21. CONSIDER SAMPLE SIZE 3 THAT CAN BE DRAWN FROM THIS POPULATION.